document.write( "Question 909606: Let g(x) = \"+++++++++-++++++++x%5E4+%2B+13x%5E2++++++-++++++++36\"\r
\n" ); document.write( "\n" ); document.write( "what are the four x-intercepts and the single intercept?\r
\n" ); document.write( "\n" ); document.write( "Is the function g is (increasing or decreasing) on the interval (−∞, −6).
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\n" ); document.write( "It is (increasing or decreasing) on the interval (6, ∞).\r
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\n" ); document.write( "\n" ); document.write( "please explain how to solve. Thank you
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Algebra.Com's Answer #551946 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi
\n" ); document.write( "g(x) = \"-++x%5E4+%2B+13x%5E2+-36\"
\n" ); document.write( "how to solve
\n" ); document.write( "y-intercept(when x = 0) is -36
\n" ); document.write( "Find x-intercetps: -3,-2,2,3
\n" ); document.write( "I. By factoring (x^2 - 4)(x^2 -9) = (x-2)(x+2)(x-3)(x+3)
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\n" ); document.write( "II. By Synthetic Division noticing x=2 is one root
\n" ); document.write( "2 -1 0 13 0 -36
\n" ); document.write( " -2 -4 18 36
\n" ); document.write( " -1 -2 9 18 0
\n" ); document.write( "(x-2)(-x^3 -2x^2 +9x + 18) Note: x = -2 root for -x^3 -2x^2 +9x + 18
\n" ); document.write( "-2 -1 -2 9 18
\n" ); document.write( " 2 0 -18
\n" ); document.write( " -1 0 9 0
\n" ); document.write( "(x-2)(x+2)(-x^2 + 9)= (x-2)(x+2)(x-3)(x+3)
\n" ); document.write( "Or
\n" ); document.write( "III. by Graphing
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